Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon

Abstract

We study the small-$x$ evolution equation for the gluon generalized parton distribution (GPD) $E_g$ of the nucleon. It is shown that $E_g$ at vanishing skewness exhibits the Regge behavior identical to the BFKL Pomeron, despite its association with nucleon helicity-flip processes. We also consider the effect of gluon saturation and demonstrate that $E_g$ gets saturated in the same way as its helicity-nonflip counterpart $H_g$. Our result has a direct impact on the modeling of $E_g$ as well as the small-$x$ contribution to nucleon spin sum rules.

5 pages, 1 figure, v2 matches PRL version

References in corpus (14)

• The Color Glass Condensate
• Electron-Ion Collider in China
• Generalized parton correlation functions for a spin-1/2 hadron
• High-energy Operator Product Expansion at sub-eikonal level
• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
• Signature of the gluon orbital angular momentum
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• Computing the gluon Sivers function at small-$x$
• Energy evolution of T-odd gluon TMDs at small $x$
• QCD Odderon: non linear evolution in the leading twist
• Single-Transverse-Spin Asymmetries in Exclusive Photo-production of J/psi in Ultra-Peripheral Collisions in the Fixed-Target Mode at the LHC and in the Collider Mode at RHIC
• EpIC: novel Monte Carlo generator for exclusive processes

Cited by in corpus (6)

• 50 Years of Quantum Chromodynamics
• Spin-flip gluon GTMD $F_{1,2}$ at small-$x$
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• Off forward non-SCHC contributions to exclusive vector quarkonium production from the "spin dependent BFKL Pomeron"
• Small-$x$ evolution of dipole amplitude in momentum space: forward--off-forward correspondence